The generator matrix

 1  0  0  0  1  1  1 2X  1  1  1  1  1  0 2X
 0  1  0  0 2X  1 2X+1  1  0 2X 2X+1 X+2 X+1  1  1
 0  0  1  0 2X+1  1 2X+2 X+1  X  2 X+2  X X+1 X+2 2X
 0  0  0  1 2X+2  X X+2 X+2  1  2  X  0 X+2 2X+2 X+1

generates a code of length 15 over Z3[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+594x^24+1454x^27+2214x^30+1944x^33+354x^36

The gray image is a linear code over GF(3) with n=45, k=8 and d=24.
This code was found by Heurico 1.16 in 0.123 seconds.